<span>equation 1/5x-2/3 y = 30, when y = 15?
so
</span><span> 1/5x-2/3 (15) = 30
1/5x - 10 = 30
1/5x = 40
x = 40(5)
x = 200
answer
</span><span>D.200</span>
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
Answer:
C
Step-by-step explanation:
In a 45-45-90 triangle, two of the sides are congruent because the angles are congruent. Choice C is the only answer in which the sides are congruent.
Answer:
4356
Step-by-step explanation:
Factor the numerator and denominator...
(n^4-5n^2-6n^2+30)/(n^4-2n^2-5n^2+10)
[n^2(n^2-5)-6(n^2-5)]/[n^2(n^2-2)-5(n^2-2)]
[(n^2-5)(n^2-6)]/[(n^2-5)(n^2-2)] notice the (n^2-5)s cancel out
(n^2-6)/(n^2-2)
We could further factor this because each is a difference of squares to:
[(n+√6)(n-√6)]/[(n+√2)(n-√2)
